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Finding the Fourth Proportional to 381.74, 572.09 and 138.03

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Solution

The fourth proportional to 381.74, 572.09 and 138.03 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.74 : 572.09 = 138.03 : x
  2. Step 2: Convert to fraction form
    381.74/572.09 = 138.03/x
  3. Step 3: Cross multiply
    381.74x = 572.09 × 138.03
  4. Step 4: Simplify right side
    381.74x = 78,963.78
  5. Step 5: Solve for x
    x = 78,963.78/381.74
  6. Step 6: Final answer
    x = 206.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.